On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications
The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form <inline-formula>&l...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-11-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/13/11/807 |
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| Summary: | The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="sans-serif">Σ</mi><mi>θ</mi></msup><msub><mrow><mo>×</mo><mo> </mo></mrow><mi>f</mi></msub><msup><mi mathvariant="sans-serif">Σ</mi><mo>⊥</mo></msup></mrow></semantics></math></inline-formula> in a locally conformal Kähler manifold. Using the concept of pointwise pseudo-slant, we establish the necessary and sufficient condition for it to be characterized as a warped product submanifold. In addition, we derive several results on pointwise pseudo-slant warped products that expand previously proven main ones. Further, some examples of such submanifolds and their warped products are also given. |
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| ISSN: | 2075-1680 |